2553776928 has 144 divisors (see below), whose sum is σ = 7681171680. Its totient is φ = 802593792.

The previous prime is 2553776903. The next prime is 2553776933. The reversal of 2553776928 is 8296773552.

2553776928 is a `hidden beast` number, since 2 + 553 + 7 + 7 + 69 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1273975 + ... + 1275977.

It is an arithmetic number, because the mean of its divisors is an integer number (53341470).

Almost surely, 2^2553776928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553776928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840585840).

2553776928 is an abundant number, since it is smaller than the sum of its proper divisors (5127394752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2553776928 is a wasteful number, since it uses less digits than its factorization.

2553776928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2260 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 2553776928 is about 50534.9080141638. The cubic root of 2553776928 is about 1366.8713888307.

The spelling of 2553776928 in words is "two billion, five hundred fifty-three million, seven hundred seventy-six thousand, nine hundred twenty-eight".